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9330144 = 253175717
BaseRepresentation
bin100011100101…
…110111100000
3122120000112220
4203211313200
54342031034
6531551040
7142206405
oct43456740
918500486
109330144
1152a296a
12315b480
131c189c5
14134c2ac
15c44749
hex8e5de0

9330144 has 48 divisors (see below), whose sum is σ = 25936848. Its totient is φ = 2926592.

The previous prime is 9330119. The next prime is 9330149. The reversal of 9330144 is 4410339.

9330144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9330149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1227 + ... + 4490.

It is an arithmetic number, because the mean of its divisors is an integer number (540351).

Almost surely, 29330144 is an apocalyptic number.

It is an amenable number.

9330144 is an abundant number, since it is smaller than the sum of its proper divisors (16606704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9330144 is a wasteful number, since it uses less digits than its factorization.

9330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 9330144 is about 3054.5284415111. The cubic root of 9330144 is about 210.5213350751.

The spelling of 9330144 in words is "nine million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 5717 11434 17151 22868 34302 45736 68604 91472 97189 137208 182944 194378 274416 291567 388756 548832 583134 777512 1166268 1555024 2332536 3110048 4665072 9330144